85660118544 has 960 divisors, whose sum is σ = 316519741440. Its totient is φ = 19403366400.

The previous prime is 85660118527. The next prime is 85660118587. The reversal of 85660118544 is 44581106658.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 85660118493 and 85660118502.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1278509199 + ... + 1278509265.

It is an arithmetic number, because the mean of its divisors is an integer number (329708064).

Almost surely, 2^85660118544 is an apocalyptic number.

85660118544 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85660118544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158259870720).

85660118544 is an abundant number, since it is smaller than the sum of its proper divisors (230859622896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85660118544 is a wasteful number, since it uses less digits than its factorization.

85660118544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 85660118544 in words is "eighty-five billion, six hundred sixty million, one hundred eighteen thousand, five hundred forty-four".